1328535936 has 768 divisors, whose sum is σ = 5346432000. Its totient is φ = 306561024.

The previous prime is 1328535911. The next prime is 1328535937. The reversal of 1328535936 is 6395358231.

It is a happy number.

1328535936 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 53 + 593 + 6 = 666.

Its product of digits (583200) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1328535891 and 1328535900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328535937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45811570 + ... + 45811598.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^1328535936 is an apocalyptic number.

1328535936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216000).

1328535936 is an abundant number, since it is smaller than the sum of its proper divisors (4017896064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1328535936 is a wasteful number, since it uses less digits than its factorization.

1328535936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 1328535936 is about 36449.0869021434. The cubic root of 1328535936 is about 1099.3207751709.

The spelling of 1328535936 in words is "one billion, three hundred twenty-eight million, five hundred thirty-five thousand, nine hundred thirty-six".